English

Set-merging for the Matching Algorithm of Micali and Vazirani

Data Structures and Algorithms 2015-01-05 v1

Abstract

The algorithm of Micali and Vazirani \cite{MV} finds a maximum cardinality matching in time O(nm)O(\sqrt n m) if an efficient set-merging algorithm is used. The latter is provided by the incremental-tree set-merging algorithm of \cite{GabTar}. Details of this application to matching were omitted from \cite{GabTar} and are presented in this note.

Keywords

Cite

@article{arxiv.1501.00212,
  title  = {Set-merging for the Matching Algorithm of Micali and Vazirani},
  author = {Harold N. Gabow},
  journal= {arXiv preprint arXiv:1501.00212},
  year   = {2015}
}